Lipschitz minimality of the multiplication maps of unit complex, quaternion and octonion numbers

DOI10.2140/AGT.2014.14.407zbMath1285.53050arXiv1303.5135OpenAlexW3098664633MaRDI QIDQ395750

Haomin Wen

Publication date: 30 January 2014

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.5135

zbMATH Keywords

Clifford algebraquaternionoctonionLipschitz minimizer

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Differential geometric aspects of harmonic maps (53C43)

Related Items (1)

Volume distortion in homotopy groups

Cites Work

• Infima of energy functionals in homotopy classes of mappings
• Homotopical effects of dilatation
• The geometry of the Hopf fibrations
• Lipschitz minimality of Hopf fibrations and Hopf vector fields
• Über die Dehnung von Sphärenabbildungen
• Geodesic spheres in Grassmann manifolds
• Isoclinic 𝑛-planes in Euclidean 2𝑛-space, Clifford parallels in elliptic (2𝑛-1)-space, and the Hurwitz matrix equations
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

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